479655000 has 640 divisors, whose sum is σ = 2024352000. Its totient is φ = 103680000.

The previous prime is 479654969. The next prime is 479655031. The reversal of 479655000 is 556974.

It is an interprime number because it is at equal distance from previous prime (479654969) and next prime (479655031).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 25244991 + ... + 25245009.

It is an arithmetic number, because the mean of its divisors is an integer number (3163050).

Almost surely, 2^479655000 is an apocalyptic number.

479655000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 479655000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1012176000).

479655000 is an abundant number, since it is smaller than the sum of its proper divisors (1544697000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

479655000 is a wasteful number, since it uses less digits than its factorization.

479655000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 479655000 is about 21901.0273731622. The cubic root of 479655000 is about 782.7858958652.

The spelling of 479655000 in words is "four hundred seventy-nine million, six hundred fifty-five thousand".